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Finding the Fourth Proportional to 25,287.78, 37,931.70 and 9,705.78

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Solution

The fourth proportional to 25,287.78, 37,931.70 and 9,705.78 is: 14,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.78 : 37,931.70 = 9,705.78 : x
  2. Step 2: Convert to fraction form
    25,287.78/37,931.70 = 9,705.78/x
  3. Step 3: Cross multiply
    25,287.78x = 37,931.70 × 9,705.78
  4. Step 4: Simplify right side
    25,287.78x = 368,156,735.23
  5. Step 5: Solve for x
    x = 368,156,735.23/25,287.78
  6. Step 6: Final answer
    x = 14,558.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.